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Set-Valued Force Laws

Dynamics of Non-Smooth Systems

  • Book
  • © 2001

Overview

Authors:
  1. Christoph Glocker

    1. Dept. of Mechanical and Process Engineering, Institute of Mechanical Systems, Zürich, Switzerland

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  • Most important contribution to the development of non-smooth mechanics
  • Includes supplementary material: sn.pub/extras

Part of the book series: Lecture Notes in Applied and Computational Mechanics (LNACM, volume 1)

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Table of contents (15 chapters)

  1. Front Matter

    Pages i-ix
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  2. Introduction

    • Christoph Glocker
    Pages 1-16

  3. Fundamental Concepts

    • Christoph Glocker
    Pages 17-31

  4. Rigid Body Systems

    • Christoph Glocker
    Pages 33-53

  5. Motion and Discontinuity Events

    • Christoph Glocker
    Pages 55-67

  6. Displacement and Velocity Potentials

    • Christoph Glocker
    Pages 69-77

  7. Representation of Scalar Force Laws

    • Christoph Glocker
    Pages 79-90

  8. Force Laws on Different Kinematic Levels

    • Christoph Glocker
    Pages 91-101

  9. Index Sets and LCP-Formulation

    • Christoph Glocker
    Pages 103-115

  10. Principles in Dynamics

    • Christoph Glocker
    Pages 117-129

  11. Spatial Coulomb Friction

    • Christoph Glocker
    Pages 131-154

  12. Velocity Jumps due to C0-Constraints

    • Christoph Glocker
    Pages 155-173

  13. Electropneumatic Drilling Machine

    • Christoph Glocker
    Pages 175-182

  14. Percussion Drilling Machine

    • Christoph Glocker
    Pages 183-193

  15. Turbine Blade Damper

    • Christoph Glocker
    Pages 195-203

  16. Concluding Remarks

    • Christoph Glocker
    Pages 205-208

  17. Back Matter

    Pages 209-222
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Keywords

About this book

As one of the oldest natural sciences, mechanics occupies a certain pioneering role in determining the development of exact sciences through its interaction with mathematics. As a matter of fact, there is hardly an area in mathematics that hasn't found an application of some form in mechanics. It is thus almost inevitable that theoretical methods in mechanics are highly developed and laid out on different levels of abstraction. With the spread of digital processors this goes as far as the implementation in commercial computer codes, where the user is merely con­ fronted on the surface with the processes that run in the background, i. e. mechan­ ics as such: in teaching and research, as well as in the context of industry, me­ chanics is much more, and must remain much more than the mere production of data with the help of a processor. Mechanics, as it is talked about here, tradition­ ally includes a wide spectrum, ranging from applied mechanics, analytical and technical mechanics to modeling. and experimental mechanics, as well as technical realization. It also includes the subdisciplines of rigid body mechanics, continuum mechanics, or fluid mechanics, to mention only a few. One of the fundamental and most important concepts used by nearly all natural sciences is the concept of linearization, which assumes the differentiability of mappings. As a matter of fact, all of classical mechanics is based on the avail­ ability of this quality.

Authors and Affiliations

  • Dept. of Mechanical and Process Engineering, Institute of Mechanical Systems, Zürich, Switzerland

    Christoph Glocker

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